Learning outcomes of the course unit

At the level of knowledge and skills, the course aims to provide students with a good theoretical understanding of the topics, as well as a good ability to perform the calculations and to apply the methods required to solve exercises and problems. This ability is necessary for the effective application of mathematics in other scientific courses.
Another important goal of the course is to provide the student with an adequate mastery of the logical-mathematical language as a model of communication of rigorous scientific contents.
In summary, at the end of the course the student is able to:
1) Know the meaning and interpretation of the mathematical tools that are the subject of the course. For example, the meaning of derivative as the growth rate or as the slope of the tangent line to the graph.
2) Perform the calculations according to the rules presented in the course. For example, being able to apply the rules of calculation of integration.
3) Apply the methods for the study of graphs of functions and their interpretation. For example, apply differentiation to determine maximum and minimum of a function.
4) Communicate the statement of a theorem in a language formally correct.

Prerequisites

Course contents summary

The course covers basic concepts and methods of differential and integral calculus for functions of one real variable: number sets, sequences, limits, graphs of functions, derivatives and integrals. Although the presentation of the arguments privileges understanding of the concepts and techniques of calculation with respect to formal rigor, some selected theorems with proof are presented.

Recommended readings

A. Guerraggio: Matematica-Mylab,
Pearson Editore.

Piattaforma online MyMathLab, Ed. Pearson, linked to the book

Teaching methods

1) Lectures where concepts, calculation rules and methods are explained.
2) Recitations during which exercises and problems are solved with the methods discussed in the lectures.
3) Homework. The exercises will be afterwards discussed in the classroom with the active participation of students.
4) Tablet-produced slides during lessons will be loaded weekly on the Elly platform.
To download the slides subscription to the online course is required. Slides are considered an integral part of the teaching material.
Non-attending students are strongly encouraged to check the available teaching material, and directions provided by the teacher, through the
Elly platform.

Assessment methods and criteria

The final exam consists of a written test and an oral test.
The written test is designed to measure the ability to solve basic mathematical problems based on the course material.
The oral test is aimed at evaluating the theoretical skills and exposure capability of the student.
To this end, a topic selected by the student from the material course is discussed, afterwards the student must show an adequate knowledge of another subject chosen by the examiner.